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Finding the Third Proportional to 804,583 and 1,215,076

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Solution

The third proportional to 804,583 and 1,215,076 is: 1,834,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,583 : 1,215,076 = 1,215,076 : x
  2. Step 2: Convert to fraction form
    804,583/1,215,076 = 1,215,076/x
  3. Step 3: Cross multiply
    804,583x = 1,215,076 × 1,215,076
  4. Step 4: Simplify right side
    804,583x = 1,476,409,685,776
  5. Step 5: Solve for x
    x = 1,476,409,685,776/804,583
  6. Step 6: Final answer
    x = 1,834,999.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.